Mexico coach Javier Aguirre says his side must maintain their focus despite moving closer to the World Cup last 16 with a 2-0 win over France in Group A.
Substitutes Cuauhtemoc Blanco and Javier Hernandez scored the goals as Mexico sealed victory in Polokwane.
A draw with Uruguay on 22 June will see Mexico through and France eliminated.
"It was very important to beat vice-world champions France," said Aguirre. "We turned in a fine performance but we are not yet mathematically through."
Aguirre's setiments were echoed by captain Rafael Marquez who said: "We have to enjoy this win but we have to keep our feet on the ground and be calm."
Mexico were the brighter side throughout Thursday's encounter at Peter Mokaba Stadium and deserved their victory, which came courtesy of goals from Manchester United-bound striker Hernandez and 37-year-old Blanco.
Blanco's goal came from the penalty spot after fellow replacement Pablo Barrera had been felled in the box.
Hernandez had given them the lead after 64 minutes when he broke the offside trap, skipped round France keeper Hugo Lloris and finished into the unguarded net.
"I am delighted with this victory, more so than for my goal or indeed getting the man of the match award," said Hernandez.
"We wanted to make the Mexican people happy and this win is a first step for there is a long way to go."
In scoring against France, Hernandez repeated the feat achieved by his grandfather, Tomas Balcazar, who scored in Mexico's 3-2 defeat to the French in the 1954 World Cup in Switzerland.
"This is something I remember my grandfather for all the time," said Hernandez, whose father, also named Javier Hernandez, was part of Mexico's 1986 World Cup squad. "I've not yet spoken to my grandfather, it's great that we both were able to score against France.
"Thanks to my family, I am what I am on and off the pitch."
Mexico play Uruguay next Tuesday in Rustenburg at the same time France are playing hosts South Africa in Bloemfontein.
With El Tri and Uruguay both on four points, they know a draw will see both through to the next round and France and South Africa, who have one point each, eliminated.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.